Slice the smoked ham into thin strips and set aside.
Prepare the noodle dough: mix the flour, eggs, water, and a pinch of salt until you have a smooth, thick batter.
Bring a large pot of salted water to a boil. Using a noodle maker or spaetzle maker, drop the batter into the boiling water. Cook the noodles for 2-3 minutes, until they float to the surface. Drain well.
In a large skillet, heat 2 tablespoons of oil over medium heat. Sauté the smoked ham for 3-4 minutes, until lightly crispy.
Add the drained noodles to the skillet and toss with the ham.
In the meantime, whisk the eggs with a pinch of salt and pepper. Pour the eggs over the ham and noodles, and stir constantly until the eggs are set but still creamy.
Serve sprinkled with fresh, finely chopped parsley. Offer the dish with a fresh salad or pickles.
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